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Variational convergence of discrete elasticae [PDF]
IMA Journal of Numerical Analysis, 2019 We discuss a discretization of the Euler–Bernoulli bending energy and of Euler elasticae under clamped boundary conditions by polygonal lines. We show Hausdorff convergence of the set of almost minimizers of the discrete bending energy to the set of ...
Sebastian Scholtes +2 more
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Variational convergence of discrete minimal surfaces [PDF]
Numerische Mathematik, 2016 Building on and extending tools from variational analysis and relying on certain a priori assumptions, we prove Kuratowski convergence of sets of simplicial area minimizers to minimizers of the smooth Douglas–Plateau problem under simplicial refinement ...
Henrik Schumacher, M. Wardetzky
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Variational Convergence of Bifunctions: Motivating Applications [PDF]
SIAM Journal on Optimization, 2014 It is shown that a number of variational and equilibrium problems can be cast as finding the maxinf-points or minsup-points of bivariate functions, for short, bifunctions. These problems include linear and nonlinear complementarity problems, fixed points, variational inequalities, inclusions, noncooperative games, and Walras and Nash equilibrium ...
A. Jofré, R. Wets
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Convergence rates of variational posterior distributions [PDF]
The Annals of Statistics, 2017 We study convergence rates of variational posterior distributions for nonparametric and high-dimensional inference. We formulate general conditions on prior, likelihood, and variational class that characterize the convergence rates.
Fengshuo Zhang, Chao Gao
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Journal of Inequalities and Applications, 2017 In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
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Uniform convexity and variational convergence [PDF]
Transactions of the Moscow Mathematical Society, 2014 Summary: Let \( \Omega \) be a domain in \( \mathbb{R}^d\). We establish the uniform convexity of the \( \Gamma \)-limit of a sequence of Carathéodory integrands \( f(x,\xi )\colon \Omega { \times }\mathbb{R}^d\to \mathbb{R}\) subject to a two-sided power-law estimate of coercivity and growth with respect to \( \xi \) with exponents \( \alpha \) and \(
V. Zhikov, S. Pastukhova
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Variational convergence over metric spaces [PDF]
Transactions of the American Mathematical Society, 2005 We introduce a natural definition of L p -convergence of maps, p > 1, in the case where the domain is a convergent sequence of measured metric space with respect to the measured Gromov-Hausdorff topology and the target is a Gromov-Hausdorff convergent ...
K. Kuwae, T. Shioya
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A Convergence Theory for Over-parameterized Variational Quantum Eigensolvers [PDF]
arXiv.org, 2022 The Variational Quantum Eigensolver (VQE) is a promising candidate for quantum applications on near-term Noisy Intermediate-Scale Quantum (NISQ) computers.
Xuchen You +2 more
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Variational quantum classifiers through the lens of the Hessian.
PLoS ONE, 2022 In quantum computing, the variational quantum algorithms (VQAs) are well suited for finding optimal combinations of things in specific applications ranging from chemistry all the way to finance.
Pinaki Sen +3 more
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Coefficients of multiple Fourier-Haar series and variational modulus of continuity
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and ...
T.B. Akhazhanov +3 more
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